In ΔOPQ, the measure of ∠Q=90°, OQ = 24, QP = 7, and PO = 25. What is the value of the tangent of ∠O to the nearest hundredth?
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We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to .
Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.
We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Now we will plug given values in our formula,
Therefore, the measure of d is 121 degrees.